Blow-Up of Solutions To Semilinear Nonautonomous Wave Equations With Robin Boundary Conditions
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Date
2019
Authors
Kalantarova, J.
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Volume Title
Publisher
Maik Nauka/Interperiodica/Springer
Open Access Color
Green Open Access
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Abstract
The problem of the blow-up of solutions to the initial boundary value problem for a nonautonomous semilinear wave equation with damping and accelerating terms under the Robin boundary condition is studied. Sufficient conditions for the blow up in finite time of solutions to semilinear damped wave equations with arbitrary large initial energy are obtained. A result on the blow-up of solutions with negative initial energy to a semilinear second-order wave equation with an accelerating term is also obtained.
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Keywords
Robin boundary condition, blow-up of solutions, concavity method, Nonexistence, Instability, Theorems, Blow-up in context of PDEs, Second-order semilinear hyperbolic equations, weakly damped wave equations, concavity method, accelerating term, Initial-boundary value problems for second-order hyperbolic equations
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
WoS Q
Q3
Scopus Q
Q3
OpenCitations Citation Count
N/A
Source
Mathematıcal Notes
Volume
106
Issue
3.Nis
Start Page
364
End Page
371
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